Question

Suppose that m∠C = m∠F. Which other fact would guarantee that the triangles are SIMILAR? A) CB FE = AB DE B) m∠B = m∠E C) m∠A + m∠B + m∠C = 180° D) 180° - m∠D = m∠E + m∠F

Answer 1

b because when u know more than one angle u know they are the similar

Answer 2

The correct option is B.

Explanation:

Given information:
`\angle C=\angle F`.

Two triangles are similar if their corresponding angles are same or their corresponding sides are proportional.

Case 1: According to the AA rule similarity, two triangles are similar if two corresponding angles are same.

In triangle ABC and triangle DEF, if

`\angle B=\angle E`

then, by AA rule triangle ABC and triangle DEF are similar. Therefore option B is correct.

Case 2: According to the SAS rule similarity, two triangles are similar if two corresponding sides are proportional and the including angles are same.

In triangle ABC and triangle DEF, if

`(CB)/(FE)=(AC)/(DF)`

then by SAS rule triangle ABC and triangle DEF are similar. Therefore option A is incorrect.